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1077707937601 is a prime number
BaseRepresentation
bin11111010111011000110…
…01100001011101000001
310211000202022121122222001
433223230121201131001
5120124121213000401
62143031525144001
7140601415215661
oct17535431413501
93730668548861
101077707937601
11386065042629
12154a4a25b001
137a8205a73c9
143a238a1c1a1
151d0788d0601
hexfaec661741

1077707937601 has 2 divisors, whose sum is σ = 1077707937602. Its totient is φ = 1077707937600.

The previous prime is 1077707937587. The next prime is 1077707937613. The reversal of 1077707937601 is 1067397077701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812745522576 + 264962415025 = 901524^2 + 514745^2 .

It is a cyclic number.

It is not a de Polignac number, because 1077707937601 - 223 = 1077699548993 is a prime.

It is a super-2 number, since 2×10777079376012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1077707937661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 538853968800 + 538853968801.

It is an arithmetic number, because the mean of its divisors is an integer number (538853968801).

Almost surely, 21077707937601 is an apocalyptic number.

It is an amenable number.

1077707937601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1077707937601 is an equidigital number, since it uses as much as digits as its factorization.

1077707937601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2722734, while the sum is 55.

The spelling of 1077707937601 in words is "one trillion, seventy-seven billion, seven hundred seven million, nine hundred thirty-seven thousand, six hundred one".